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Exp Kauffman Autocatalytic Threshold 79
mean_pc_N50 0.7791 +/- 0.0012288 (d=634.01, sign-consistent=100.0%); mean_pc_N400 0.24542 +/- 0.019077 (d=12.865, sign-consistent=100.0%); mean_inv_nu 0.3622 +/- 0.0034185 (d=105.95, sign-consistent=100.0%)
MEASUREMENT (not hypothesis-testable). This experiment measures the autocatalytic percolation threshold pc at two system sizes: pc(N=50) = 0.779 (d=634, 100% consistent) and pc(N=400) = 0.245 (d=12.9, 100% consistent), with a finite-size scaling exponent 1/nu = 0.362 (d=106). The 3.2x drop in pc from N=50 to N=400 indicates strong finite-size effects — the asymptotic threshold lies well below 0.245. All measurements are highly precise across 687 seeds but do not test a directional hypothesis. The scaling exponent 1/nu = 0.362 places this transition outside standard percolation universality classes (where 1/nu is typically 0.75 for 2D), suggesting a distinct critical behavior for Kauffman autocatalytic networks.
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